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c) The charge on the capacitor in an LRC-series circuit when R 100k Ω, L k H, %3D C = 4 x 10 F and E(t) = 25 V is q(t) = c,e-50t cos 150t + cze-50t sin 150t + 0.001 where k is a constant. Find the value of k and the charge on the capacitor at t = 0.01s when q(0) = 0 C and i(0) 0 A.

c) The charge on the capacitor in an LRC-series circuit when R 100k Ω, L k H, %3D C = 4 x 10 F and E(t) = 25 V is q(t) = c,e-50t cos 150t + cze-50t sin 150t + 0.001 where k is a constant. Find the value of k and the charge on the capacitor at t = 0.01s when q(0) = 0 C and i(0) 0 A.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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c) The charge on the capacitor in an LRC-series circuit when R 100k Ω, L-kH, C = 4 x 10* F and E(1) = 25 V is q(t) = c,e-50t cos 150t + c2e-50t sin 150t + 0.001 where k is a constant. Find the value of k and the charge on the capacitor at 0.01s %3D when q(0) = 0 C and i(0) = 0 A.
Transcribed Image Text:c) The charge on the capacitor in an LRC-series circuit when R 100k Ω, L-kH, C = 4 x 10* F and E(1) = 25 V is q(t) = c,e-50t cos 150t + c2e-50t sin 150t + 0.001 where k is a constant. Find the value of k and the charge on the capacitor at 0.01s %3D when q(0) = 0 C and i(0) = 0 A.
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